Prime p₀= 1069329085255502129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Theadalus
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1069328216616399953	0 54 68 80 90 96 146 170 234 258 308 314 324 336 350 404	-868639102176
STPT(10)	1069328301740178047	0 2 12 14 42 44 72 74 84 86	-783515324082
SPT(16)	1069328372734532269	0 22 28 30 60 64 78 84 88 94 108 112 142 144 150 172	-712520969860
SPT(16)	1069328444583368407	0 6 42 60 102 204 216 246 270 300 312 414 456 474 510 516	-640672133722
STPT(10)	1069328874317497271	0 2 30 32 78 80 126 128 156 158	-210938004858
SPT(16)	1069328908890650413	0 36 40 46 88 96 180 208 276 304 388 396 438 444 448 484	-176364851716
STPT(10)	1069329321915362411	0 2 36 38 78 80 120 122 156 158	236659860282
STPT(10)	1069329646557116597	0 2 30 32 102 104 174 176 204 206	561301614468
STPT(10)	1069329660971953361	0 2 30 32 78 80 126 128 156 158	575716451232
STPT(10)	1069329661315827407	0 2 60 62 72 74 84 86 144 146	576060325278
SPT(16)	1069330385651867047	0 16 24 34 46 60 112 114 232 234 286 300 312 322 330 346	1300396364918